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2112312017 is a prime number
BaseRepresentation
bin111110111100111…
…0101001011010001
312110012200120100102
41331321311023101
513311222441032
6545334102145
7103226233034
oct17571651321
95405616312
102112312017
11994388312
124ab4aa955
1327880bb8a
1416077301b
15c569a362
hex7de752d1

2112312017 has 2 divisors, whose sum is σ = 2112312018. Its totient is φ = 2112312016.

The previous prime is 2112312001. The next prime is 2112312029. The reversal of 2112312017 is 7102132112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1880176321 + 232135696 = 43361^2 + 15236^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112312017 - 24 = 2112312001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2112312017.

It is not a weakly prime, because it can be changed into another prime (2112315017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056156008 + 1056156009.

It is an arithmetic number, because the mean of its divisors is an integer number (1056156009).

Almost surely, 22112312017 is an apocalyptic number.

It is an amenable number.

2112312017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112312017 is an equidigital number, since it uses as much as digits as its factorization.

2112312017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 2112312017 is about 45959.8957461829. The cubic root of 2112312017 is about 1283.0769110361.

Adding to 2112312017 its reverse (7102132112), we get a palindrome (9214444129).

The spelling of 2112312017 in words is "two billion, one hundred twelve million, three hundred twelve thousand, seventeen".